To compare the two options Martha has for purchasing the shirts, we will calculate the total cost after applying the discounts for both Option A and Option B.
Step 1: Calculate the cost without discounts.
Martha wants to buy two shirts, and each shirt costs $20.
\[ \text{Total cost without discounts} = 2 \times 20 = $40 \]
Option A: Buy one shirt and get the second shirt at 50% off
Step 2: Calculate the cost for Option A.
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Cost of the first shirt: $20
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Calculate the cost of the second shirt at 50% off:
- 50% off of $20 is: \[ 50% \text{ of } 20 = 0.5 \times 20 = $10 \]
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Total cost for Option A: \[ \text{Total cost} = $20 + $10 = $30 \]
Option B: Use a coupon for 30% off the entire purchase
Step 3: Calculate the cost for Option B.
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Cost without discounts: $40 (calculated earlier).
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Calculate 30% discount: \[ 30% \text{ of } 40 = 0.3 \times 40 = $12 \]
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Total cost after applying the coupon: \[ \text{Total cost} = 40 - 12 = $28 \]
Summary of Costs:
- Total cost for Option A: $30
- Total cost for Option B: $28
Conclusion:
Martha should choose Option B since it has the lower total cost of $28 compared to Option A's $30.